15 citations · 32 across the 21 of their papers we have counts for
16 papers · 1 filter
Fefferman--Stein type inequalities via area and maximal functions for Schrödinger operators with applications
Ji Li, Wanjun Li, Liang Song +1
In this paper, we establish a Fefferman--Stein inequality in terms of area function and non-tangential maximal function associated with the Schrödinger operator $\mathcal{L} = -Δ+…
Dirichlet problem for Schrödinger operators on Heisenberg groups
Ji Li, Qingze Lin, Liang Song
We investigate the Dirichlet problem associated to the Schrödinger operator on Heisenberg group : \begin{align*} \begin{cases} \partia…
Pointwise Decay of solutions to the energy critical nonlinear Schrödinger equations
Zihua Guo, Chunyan Huang, Liang Song
In this note, we prove pointwise decay in time of solutions to the 3D energy-critical nonlinear Schrödinger equations assuming data in . The main ingredients are the b…
BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends
Peng Chen, Xuan Thinh Duong, Ji Li +2
Consider a non-doubling manifold with ends where for . We say that a…
Characterizations of the Hardy space for Fourier integral operators
Zhijie Fan, Naijia Liu, Jan Rozendaal +1
The Hardy spaces for Fourier integral operators , for , were introduced by Smith in [Smith,1998] and Hassell et al. in [H…
Weak type bounds for Schrödinger groups
Peng Chen, Xuan Thinh Duong, Ji Li +2
Let be a non-negative self-adjoint operator acting on where is a space of homogeneous type with a dimension . Suppose that the heat kernel of satisfies a Ga…
Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators
Xuan Thinh Duong, Ji Li, Liang Song +1
Let be the generator of an analytic semigroup whose kernels satisfy Gaussian upper bounds and Hölder's continuity. Also assume that has a bounded holomorphic functional cal…
Carleson measures, BMO spaces and balayages associated to Schrodinger operators
Peng Chen, Xuan Thinh Duong, Ji Li +2
Let be a Schrödinger operator of the form acting on , , where the nonnegative potential belongs to the reverse Hölder class for som…
Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity
Jun Geng, Zhongwei Shen, Liang Song
This paper concerns with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uni…
Maximal function characterizations for Hardy spaces associated to nonnegative self-adjoint operators on spaces of homogeneous type
Liang Song, Lixin Yan
Let be a metric measure space with a doubling measure and be a nonnegative self-adjoint operator acting on . Assume that generates an analytic semigroup $e^{-tL…
On characterization of Poisson integrals of Schrödinger operators with Morrey traces
Liang Song, Xiaoxiao Tian, Lixin Yan
Let be a Schrödinger operator of the form acting on where the nonnegative potential belongs to the reverse Hölder class for some $q\geq n.…
A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates
Liang Song, Lixin Yan
Let be a nonnegative, self-adjoint operator satisfying Gaussian estimates on $L^2(\RR^n)$. In this article we give an atomic decomposition for the Hardy spaces $ H^p_{L,max}(\R…
Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds
Liang Song, Jie Xiao, Xuefang Yan
Let be a nonnegative, self-adjoint operator on with the Gaussian upper bound on its heat kernel. As a generalization of the square Campanato space $\mathcal…
On characterization of Poisson integrals of Schrodinger operators with BMO traces
Xuan Thinh Duong, Lixin Yan, Chao Zhang
Let L be a Schrodinger operator of the form L=-Δ+V acting on L^2(Rn) where the nonnegative potential V belongs to the reverse Holder class Bq for some q>= n. Let BMO_L(Rn) denote t…
On Lp Estimates in Homogenization of Elliptic Equations of Maxwell's Type
Zhongwei Shen, Liang Song
For a family of second-order elliptic systems of Maxwell's type with rapidly oscillating periodic coefficients in a domain , we establish uniform estimates of solutio…
Uniform W^{1,p} Estimates for Systems of Linear Elasticity in a Periodic Medium
Jun Geng, Zhongwei Shen, Liang Song
Let be a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients. We obtain the uniform estimate in a Lipschitz dom…